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題名 以連續及順序尺度測量滿意程度的合意度分析
Agreement analysis of satisfaction rating data using continuous and ordinal scales
作者 賴柏華
貢獻者 鄭宗記
賴柏華
關鍵詞 合意度
日期 2013
上傳時間 6-Aug-2014 11:40:10 (UTC+8)
摘要 此篇文章中探討成對資料的合意度分析，影響合意度的好壞分為系統差異(System Difference)和隨機差異(Random Difference)兩種，使用Svensson and Holm (1994)提出的RP、RC等統計量，與Cohen(1960)的Kappa、Kendall(1938)的Kendall’s W等廣泛被使用的合意度指標，並配合ROC曲線進行資料分析。
本文分析具遺漏值的資料(incomplete-data)，並且著重在變數同時包含連續型和類別型的混合型情況，使用Schafer(1997)中EM和衍生出的資料增廣(Data augmentation)等方法求取參數的估計值，並且對遺漏值進行資料插補，進而對資料的合意度進行分析。從幾次的模擬結果，可得知填補遺漏值後與實際狀況的差異相當小；如經過給予限制條件的模型得到變異較不穩定的情況，可在未來的研究當中先對所有的資料更加了解，再使用資料增廣與貝氏結合的方法(Data augmentation Bayesian IPF)做分析。
參考文獻 Agresti, A. (1988). A model for agreement between ratings on an ordinal scale. Biometrics, 539-548.
Agresti, A. (1992). Modelling patterns of agreement and disagreement. Statistical methods in medical research, 1(2), 201-218.
Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37-46.
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal statistical Society,39(1), 1-38.
Fieller, E. C., Hartley, H. O., & Pearson, E. S. (1957). Tests for rank correlation coefficients. I. Biometrika, 470-481.
Jensen, J. L. W. V. (1906). Sur les fonctions convexes et les inégalités entre les valeurs moyennes. Acta Mathematica, 30(1), 175-193.
Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 81-93.
Kendall, M. G., & Smith, B. B. (1939). The problem of m rankings. The annals of mathematical statistics, 10(3), 275-287.
Kendall, M. G. (1945). The treatment of ties in ranking problems. Biometrika, 239-251.
Little, R. J., & Schluchter, M. D. (1985). Maximum likelihood estimation for mixed continuous and categorical data with missing values. Biometrika, 72(3), 497-512.
Rhodes, A., Jasani, B., Barnes, D. M., Bobrow, L. G., & Miller, K. D. (2000). Reliability of immunohistochemical demonstration of oestrogen receptors in routine practice: interlaboratory variance in the sensitivity of detection and evaluation of scoring systems. Journal of clinical pathology, 53(2), 125-130.
Saris, W. E., Van Wijk, T., & Scherpenzeel, A. (1998). Validity and Reliability of Subjective Social Indicators: The effect of different measures of association. Social indicators research, 45(1-3), 173-199.
Schafer, J. L. (1997). Analysis of incomplete multivariate data. CRC press.
Svensson, E. (2000). Comparison of the quality of assessments using continuous and discrete ordinal rating scales. Biometrical Journal, 42(4), 417-434.
Svensson, E. (2001). Construction of a single global scale for multi‐item assessments of the same variable. Statistics in medicine, 20(24), 3831-3846.
Svensson, E. (2012). Different ranking approaches defining association and agreement measures of paired ordinal data. Statistics in medicine, 31(26), 3104-3117.
Svensson, E., & Holm, S. (1994). Separation of systematic and random differences in ordinal rating scales. Statistics in medicine, 13(23‐24), 2437-2453.
描述 碩士
國立政治大學
統計研究所
101354026
102
資料來源 http://thesis.lib.nccu.edu.tw/record/#G1013540261
資料類型 thesis
dc.contributor.advisor 鄭宗記zh_TW
dc.contributor.author (Authors) 賴柏華zh_TW
dc.creator (作者) 賴柏華zh_TW
dc.date (日期) 2013en_US
dc.date.accessioned 6-Aug-2014 11:40:10 (UTC+8)-
dc.date.available 6-Aug-2014 11:40:10 (UTC+8)-
dc.date.issued (上傳時間) 6-Aug-2014 11:40:10 (UTC+8)-
dc.identifier (Other Identifiers) G1013540261en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/68230-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計研究所zh_TW
dc.description (描述) 101354026zh_TW
dc.description (描述) 102zh_TW
dc.description.abstract (摘要) 此篇文章中探討成對資料的合意度分析，影響合意度的好壞分為系統差異(System Difference)和隨機差異(Random Difference)兩種，使用Svensson and Holm (1994)提出的RP、RC等統計量，與Cohen(1960)的Kappa、Kendall(1938)的Kendall’s W等廣泛被使用的合意度指標，並配合ROC曲線進行資料分析。
本文分析具遺漏值的資料(incomplete-data)，並且著重在變數同時包含連續型和類別型的混合型情況，使用Schafer(1997)中EM和衍生出的資料增廣(Data augmentation)等方法求取參數的估計值，並且對遺漏值進行資料插補，進而對資料的合意度進行分析。從幾次的模擬結果，可得知填補遺漏值後與實際狀況的差異相當小；如經過給予限制條件的模型得到變異較不穩定的情況，可在未來的研究當中先對所有的資料更加了解，再使用資料增廣與貝氏結合的方法(Data augmentation Bayesian IPF)做分析。		zh_TW
dc.description.tableofcontents 第一章、緒論 1
第二章、文獻探討 2
第一節 傳統統計方法 2
第二節 常用合意度判斷統計量 5
第三節 增廣等級化(Augmented ranking) 6
第四節 隨機差異和系統差異 8
第五節 不完整資料處理(Incomplete data processing) 18
第三章、資料補值之正確性模擬 24
第一節、基本資料分析 24
第二節、資料模擬 38
第四章、實證分析 47
第一節、資料介紹 47
第二節、補值與合意度分析 50
五、結論 54
參考文獻 55
附錄 57		zh_TW
dc.format.extent 1875577 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G1013540261en_US
dc.subject (關鍵詞) 合意度zh_TW
dc.title (題名) 以連續及順序尺度測量滿意程度的合意度分析zh_TW
dc.title (題名) Agreement analysis of satisfaction rating data using continuous and ordinal scalesen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Agresti, A. (1988). A model for agreement between ratings on an ordinal scale. Biometrics, 539-548.
Agresti, A. (1992). Modelling patterns of agreement and disagreement. Statistical methods in medical research, 1(2), 201-218.
Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37-46.
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal statistical Society,39(1), 1-38.
Fieller, E. C., Hartley, H. O., & Pearson, E. S. (1957). Tests for rank correlation coefficients. I. Biometrika, 470-481.
Jensen, J. L. W. V. (1906). Sur les fonctions convexes et les inégalités entre les valeurs moyennes. Acta Mathematica, 30(1), 175-193.
Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 81-93.
Kendall, M. G., & Smith, B. B. (1939). The problem of m rankings. The annals of mathematical statistics, 10(3), 275-287.
Kendall, M. G. (1945). The treatment of ties in ranking problems. Biometrika, 239-251.
Little, R. J., & Schluchter, M. D. (1985). Maximum likelihood estimation for mixed continuous and categorical data with missing values. Biometrika, 72(3), 497-512.
Rhodes, A., Jasani, B., Barnes, D. M., Bobrow, L. G., & Miller, K. D. (2000). Reliability of immunohistochemical demonstration of oestrogen receptors in routine practice: interlaboratory variance in the sensitivity of detection and evaluation of scoring systems. Journal of clinical pathology, 53(2), 125-130.
Saris, W. E., Van Wijk, T., & Scherpenzeel, A. (1998). Validity and Reliability of Subjective Social Indicators: The effect of different measures of association. Social indicators research, 45(1-3), 173-199.
Schafer, J. L. (1997). Analysis of incomplete multivariate data. CRC press.
Svensson, E. (2000). Comparison of the quality of assessments using continuous and discrete ordinal rating scales. Biometrical Journal, 42(4), 417-434.
Svensson, E. (2001). Construction of a single global scale for multi‐item assessments of the same variable. Statistics in medicine, 20(24), 3831-3846.
Svensson, E. (2012). Different ranking approaches defining association and agreement measures of paired ordinal data. Statistics in medicine, 31(26), 3104-3117.
Svensson, E., & Holm, S. (1994). Separation of systematic and random differences in ordinal rating scales. Statistics in medicine, 13(23‐24), 2437-2453.		zh_TW